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Finding the Third Proportional to 84,891,471 and 181,885,782

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Solution

The third proportional to 84,891,471 and 181,885,782 is: 389,702,726.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891,471 : 181,885,782 = 181,885,782 : x
  2. Step 2: Convert to fraction form
    84,891,471/181,885,782 = 181,885,782/x
  3. Step 3: Cross multiply
    84,891,471x = 181,885,782 × 181,885,782
  4. Step 4: Simplify right side
    84,891,471x = 33,082,437,693,751,524
  5. Step 5: Solve for x
    x = 33,082,437,693,751,524/84,891,471
  6. Step 6: Final answer
    x = 389,702,726.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.